A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp

A Lamp Points Toward The Base Of A Doorway As Shown Below, What Is The Height, In Feet, Of The Lamp

Answers

Answer 1

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]


Related Questions

Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?

Answers

Answer:

walks dogs for 3 hours on Saturday and 4 hours on

Sunday. She calculates her total pay to be $57.75.

Which equation could be used to check the reasonableness of her total?

Step-by-step explanation: concept

Answer: Multipulcation

Step-by-step explanation:

The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]

What’s the answer to this

Answers

Answer:

p=$65 per day so how many days? you multiply 65 by how ever many days that there is so

Step-by-step explanation:

p=$65 per day so how many days? you multiply 65 by how ever many days that there is so  that would be your answer

$102 headphones, 7.5% tax

Answers

Answer:

You are correct the tax would be that

Step-by-step explanation:

A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?

Answers

Answer:

156.00

Step-by-step explanation:take away 8% sales tax away from it

If AD is the perpendicular bisector of EB, find each measure.

Answers

Answer:

look at the picture

Step-by-step explanation:

I'm not sure about the value of x but I believe it is -23

please help again once again 10 POINTS AND 15!

Answers

40 cubic units, just count them my guy

you got a chunk of 32 and a chunk that's 8

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence

Answers

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …

ΔRST~ΔUVW. If ST=36 inches, UV=45 inches, and VW=18 inches, what is the length of RS?

Answers

Answer:

hi

Step-by-step explanation:

5(x+8)
Help please!!!!!!!!!!!!!!!!!!

Answers

Answer:

5x+40

Step-by-step explanation:

You would distribute 5 to x+8 and that would add up to 5x+40.

Answer:

Step-by-step explanation:

5x+40

A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?

Answers

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

[tex]A = 3\sqrt{5}[/tex]

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)

Answers

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60

Answers

Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.

Answers

ABC, CBA, 1, B

the angle is obtuse

Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU​

Answers

Please do not click red neck cake links. But I do not know. Be advised to NOT click any links!

How many lines of symmetry does the figure below have?

Answers

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions

Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.

f(x) = -2x2 + 32x - 126

Answers

Answer:

MAX: (8, 2)

too lazy to write out the solution, sorry.

Answer:

this is what i got -2(x-9)(-7) hope it helps

Step-by-step explanation:

Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500

Answers

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

Find the length of AC using Pythagorean Theorem.

Answers

Answer:

23

Step-by-step explanation:

The average winter snowfall for Syracuse, New York, for December, January, February is 27.5 inches per month. If Syracuse receives 24 inches of snow in December and 32 inches in Januar how much snow is required in February to exceed the 3 month average?​

Answers

Answer: More than 26.5 inches

Step-by-step explanation:

Solve this equation :

[tex]\frac{32+24+x}{3} \geq 27.5[/tex]

x>26.5

How many solutions exist for the system of equations below?

Answer Choices:
none
one
two
infinitely many

Answers

Answer:

None

Step-by-step explanation:

No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.

If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.

Answers

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

Please help me i have no clue what the answer is :?

Answers

Answer:

1. Yes

2. They could change the 60° angle into a different one.

Step-by-step explanation:

1. Two triangles are the same if they share two side lengths with the same angle between them.

2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.

I cant see the photooooo

Just solve this for my friend, can u

Simplyfy 192/-168​

Answers

Answer:

-8/7 is your simplified answer :)

Step-by-step explanation:

Have a nice day <3

ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

C, the graph is increasing when x is between -1 and 2.

Step-by-step explanation:

When it is increasing, it is getting higher up the y axis. The other two lines are going lower down the x axis so they are decreasing. This means that it has to be C.

hope this helps :)

Find the surface area of the cylinder to the nearest tenth of a square unit,
4 cm
12.4 cm

Answers

Answer:

The answer is 412.2 cubic centimeters

Step-by-step explanation:

412.2

4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?

Answers

4x5-(2 (2) - 2 ) = 14
(18/ 3) + (3 (2) - 7) 8

The length of a rectangle is 16 meters and the width is 3 meters. Find the area.

Answers

Answer:

16x3= 48 so the answer is 48m^2

What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)

A. 14,000 g

B. 140 g

C. 1.4 g

D. 1,400 g

Answers

Answer:

D

Step-by-step explanation:

Answer:

it is D im 99% sure

Step-by-step explanation:

dddddddd

A line goes through the points (-3,-6) and (6,9). Find the slope

Answers

Answer:

Slope = 5/3

-------------------

m =  5/3

Answer:

5/3

Step-by-step explanation:

Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:

9-(-6)/6-(-3)

Since both are negatives, you would add it like this:

9+6/6+3= 15/9

Now, you need to simplify this fraction which is 5/3.

Solve each of these equations. Explain or show your reasoning.

2(x+5)=3x+1

3y−4=6−2y

3(n+2)=9(6−n)

Answers


2(x+5)=3x+1 = 9

Subtract
2
x
2x from both sides then Subtract
1
1 from both sides.
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